What is the solution to the system of equations? y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3. X equals negative 2.X + 3 x = –2

Respuesta :

Answer:

The solution to the given system of equations is (-2,[tex]\frac{5}{3}[/tex])

Therefore the values of x and y are x=-2 and [tex]y=\frac{5}{3}[/tex]

Step-by-step explanation:

Given equations can be written as

[tex]y=\frac{2}{3}x+3\hfill (1)[/tex]

[tex]x=-2x+3x=-2\hfill (2)[/tex]

Solving equation(2) we get

x=-2

Substitute x=-2 in equation (1) we get

[tex]y=\frac{2}{3}(-2)+3[/tex]

[tex]=-\frac{4}{3}+3[/tex]

[tex]=\frac{-4+9}{3}[/tex]

[tex]=\frac{5}{3}[/tex]

Therefore the values of x and y are  x=-2 and [tex]y=\frac{5}{3}[/tex]

The solution to the given system of equations is (-2,[tex]\frac{5}{3}[/tex])

Answer:

the answer is B

Step-by-step explanation: